Study on the Development of Neutrosophic Triplet Ring and Neutrosophic Triplet Field

Mumtaz Ali, Florentin Smarandache and Mohsin Khan
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Mumtaz Ali: Department of Mathematics, Environment and Science, University of Southern Queensland, Springfield 4300, QLD, Australia
Florentin Smarandache: Department of Mathematics, University of New Mexico, 705 Gurley Avenue, Gallup, NM 87301, USA
Mohsin Khan: Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Pakistan

Mathematics, 2018, vol. 6, issue 4, 1-11

Abstract: Rings and fields are significant algebraic structures in algebra and both of them are based on the group structure. In this paper, we attempt to extend the notion of a neutrosophic triplet group to a neutrosophic triplet ring and a neutrosophic triplet field. We introduce a neutrosophic triplet ring and study some of its basic properties. Further, we define the zero divisor, neutrosophic triplet subring, neutrosophic triplet ideal, nilpotent integral neutrosophic triplet domain, and neutrosophic triplet ring homomorphism. Finally, we introduce a neutrosophic triplet field.

Keywords: ring; field; neutrosophic triplet; neutrosophic triplet group; neutrosophic triplet ring; neutrosophic triplet field (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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